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Q: A system is linear if and only if it satisfies principle of superposition?
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What is the difference between nonlinear and linear system?

Linear system follows principal of superposition and homogeneity and Non linear system does not follow the same.


Is the superposition theorem applicable to non linear network why?

Yes, superposition theorem holds true in AC circuits as well. You must first convert an AC circuit to the phasor domain and the same rules apply.


When does A system of two linear inequalities have a solution?

When there is an ordered pair that satisfies both inequalities.


If the ordered pair (3-2) satisfies one of the two linear equations in a system how can you tell whether the point satisfies the other equation of the system?

Substitute the values for the two variables in the second equation. If the resulting equation is true then the point satisfies the second equation and if not, it does not.


What does the principle of superposition state?

Layers at the bottom are the oldest.


What is a unique solution in linear equations?

This is the case when there is only one set of values for each of the variables that satisfies the system of linear equations. It requires the matrix of coefficients. A to be invertible. If the system of equations is y = Ax then the unique solution is x = A-1y.


What is the principle of interference?

The relationship is interference is the addition of two or more wave pattern and the principle of superposition is the displacement of any point due to the superposition of wave system equal to the sum of the displacements of the individual waves at that point.


Define the conservation of momentum?

the principle that the total linear momentum in a closed system is constant and is not affected by processes occurring inside the system.


How many solututions are there in a system of non linear equations?

It depends on the system. There can be many, even infinitely many, depending on the system. For example, consider cos(x)=1, sin(x)=0; any multiple of 2*pi satisfies this system.


WHAT IS The sum of two numbers is 27 and their difference is 3.what system of linear equation satisfies the given condition?

The two numbers are... 12 & 15. The equation is... x equals y times 3


What is the definition of Simultaneous Linear Equations?

A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.


What is inconsistent system of linear equation?

It is a system of linear equations which does not have a solution.